9(2+r)-3(r-1)=33

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Solution for 9(2+r)-3(r-1)=33 equation: 


Simplifying
9(2 + r) + -3(r + -1) = 33
(2 * 9 + r * 9) + -3(r + -1) = 33
(18 + 9r) + -3(r + -1) = 33

Reorder the terms:
18 + 9r + -3(-1 + r) = 33
18 + 9r + (-1 * -3 + r * -3) = 33
18 + 9r + (3 + -3r) = 33

Reorder the terms:
18 + 3 + 9r + -3r = 33

Combine like terms: 18 + 3 = 21
21 + 9r + -3r = 33

Combine like terms: 9r + -3r = 6r
21 + 6r = 33

Solving
21 + 6r = 33

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-21' to each side of the equation.
21 + -21 + 6r = 33 + -21

Combine like terms: 21 + -21 = 0
0 + 6r = 33 + -21
6r = 33 + -21

Combine like terms: 33 + -21 = 12
6r = 12

Divide each side by '6'.
r = 2

Simplifying
r = 2

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